Provide an appropriate response. Round to the nearest hundredth.
-The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.6274, 0.3102, 0.0575, 0.0047, and 0.0001, respectively. Find the standard deviation for the probability distribution.
A) $\sigma = 0.56$
B) $\sigma = 0.39$
C) $\sigma = 0.63$
D) $\sigma = 0.76$

Question

Provide an appropriate response. Round to the nearest hundredth.
-The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.6274, 0.3102, 0.0575, 0.0047, and 0.0001, respectively. Find the standard deviation for the probability distribution. 
A) $\sigma = 0.56$
B) $\sigma = 0.39$
C) $\sigma = 0.63$
D) $\sigma = 0.76$

Quizplus · Accepted Answer

The standard deviation is calculated using the formula $\sigma = \sqrt{\sum (x_i - \mu)^2 \cdot P(x_i)}$, where $\mu$ is the mean. Calculating $\mu$ and then $\sigma$ gives approximately 0.63.

Provide an Appropriate Response σ=0.56\sigma = 0.56σ=0.56 B) σ=0.39\sigma = 0.39σ=0.39 C) σ=0.63\sigma = 0.63σ=0.63

Provide an Appropriate Response $\sigma = 0.56$ B) $\sigma = 0.39$ C) $\sigma = 0.63$